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Real-Time Optimal Parametric Design of a Simple Infiltration-Evaporation Model Using the Assess-Predict-Optimize (APO) Strategy

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dc.contributor.author Ali, S.
dc.contributor.author Damodaran, Murali
dc.contributor.author Patera, Anthony T.
dc.date.accessioned 2003-11-19T20:50:04Z
dc.date.available 2003-11-19T20:50:04Z
dc.date.issued 2003-01
dc.identifier.uri http://hdl.handle.net/1721.1/3706
dc.description.abstract Optimal parametric design of a system must be able to respond quickly to short term needs as well as long term conditions. To this end, we present an Assess-Predict-Optimize (APO) strategy which allows for easy modification of a system’s characteristics and constraints, enabling quick design adaptation. There are three components to the APO strategy: Assess - extract necessary information from given data; Predict - predict future behavior of system; and Optimize – obtain optimal system configuration based on information from the other components. The APO strategy utilizes three key mathematical ingredients to yield real-time results which would certainly conform to given constraints: dimension reduction of the model, a posteriori error estimation, and optimization methods. The resulting formulation resembles a bilevel optimization problem with an inherent nonconvexity in the inner level. Using a simple infiltration-evaporation model to simulate an irrigation system, we demonstrate the APO strategy’s ability to yield real-time optimal results. The linearized model, described by a coercive elliptic partial differential equation, is discretized by the reduced-basis output bounds method. A primal-dual interior point method is then chosen to solve the resulting APO problem. en
dc.description.sponsorship Singapore-MIT Alliance (SMA) en
dc.format.extent 256590 bytes
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.relation.ispartofseries High Performance Computation for Engineered Systems (HPCES);
dc.subject reduced-basis en
dc.subject a posteriori error estimation en
dc.subject design optimization en
dc.subject nonlinear optimization en
dc.subject bilevel optimization en
dc.subject inverse problems en
dc.title Real-Time Optimal Parametric Design of a Simple Infiltration-Evaporation Model Using the Assess-Predict-Optimize (APO) Strategy en
dc.type Article en


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